Properties

Label 4017.c
Number of curves 1
Conductor 4017
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("4017.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4017.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4017.c1 4017b1 [0, 1, 1, 25, 2] [] 336 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4017.c1 has rank \(1\).

Modular form 4017.2.a.c

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{4} + q^{5} + 2q^{7} + q^{9} - 2q^{12} - q^{13} + q^{15} + 4q^{16} - 3q^{17} - 4q^{19} + O(q^{20}) \)